报告题目:Local normalization of non-degenerate smooth integrable systems
报告人:姜恺,北京大学
时间:2019年9月12日(周四)下午4:00--5:00
地点:东区管理科研楼1418教室
摘要:In this talk, I will introduce a geometric linearization of integrable vector fields around non-degenerate singularities.I will first recall the classification of singularities of linear systems and introduce the Poincare-Dulac normal form for nonlinear systems.Then I will present a local normal form of the vector fields formulated by its linear part and its first integrals under the condition of integrability.I will discuss big differences of integrable systems in different categories (formal, analytic, smooth) and give some new results for smooth systems.
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